Remark 2.5 Assumption \((H_3)\)  allows us to apply Lemma 4.1.16 in [1]} to deduce that there exists \(\epsilon >0, L_0,L_1>0\)  such that
\(L_1\Vert z-z^{\prime }\Vert \le \left\Vert s^{-1}(z)-s^{-1}(z^{\prime })\right\Vert \le L_0\Vert z-z^{\prime }\Vert \) 
